Mathematics: In right triangle GHI, ∠H is a right angle, m∠I=42∘, and GH=11. sin42∘≈0.67cos42∘≈0.74tan42∘≈0.90What is the measurement of HI?If necessary, round your answer to two decimal places, like this: 42.53

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In right triangle GHI, ∠H is a right angle, m∠I=42∘,

penaceci15

10.02.2022

12.22

Step-by-step explanation:

θ = 42°

We solve using Tangent rule of trigonometry.

tan θ = Opposite/Adjacent

GH = Opposite = 11

HI = Adjacent = ?

From the question

tan42∘≈0.90

Hence:

0.90 = 11/HI

HI = 11/0.90

HI = 12.222222222

Approximately = 12.22

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